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A026301 Expansion of g.f. sqrt(V(x)), where V(x) = Sum_{n >= 0} A065409(n)*x^n. 2

%I #17 Sep 26 2019 02:40:25

%S 1,4,64,960,14112,206976,3051520,45340672,679088128,10244538368,

%T 155497791488,2372333207552,36346971717632,558853784207360,

%U 8618409948348416,133250263847796736,2064775104923041792,32056922218818961408,498560128589437599744

%N Expansion of g.f. sqrt(V(x)), where V(x) = Sum_{n >= 0} A065409(n)*x^n.

%F a(n) ~ 2^(4*n + 1/2) / (Pi * sqrt(n)). - _Vaclav Kotesovec_, Sep 26 2019

%t CoefficientList[Series[Sqrt[HypergeometricPFQ[{-1/2, 1/2}, {1}, 32*x - 256*x^2]/(1 - 16*x)], {x, 0, 20}], x] (* _Vaclav Kotesovec_, Sep 26 2019 *)

%Y Cf. A065409, A046105, A060042.

%K nonn

%O 0,2

%A _N. J. A. Sloane_, following a suggestion of _Peter J Larcombe_, Jan 16 2004

%E More terms from _Sean A. Irvine_, Sep 25 2019

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Last modified April 16 08:21 EDT 2024. Contains 371698 sequences. (Running on oeis4.)